Topological degree and generalized asymmetric oscillators

Alessandro Fonda

DOI: http://dx.doi.org/10.12775/TMNA.2006.026

Abstract


We consider periodic perturbations of an
isochronous hamiltonian system in the plane, depending on a parameter,
which generalize the classical asymmetric oscillator. We compute the
associated topological degree, and consider situations where
large-amplitude periodic solutions can arise.

Keywords


Periodic solutions; isochronoushmiltonin systems

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